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Andru [333]
3 years ago
11

Write the equation if the line that passes through the point (3,5)

Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0
Since the line is parallel to the graph y = 2/3x + 1, then it must have a gradient of 2/3, by definition.

Hence, let's use the point-gradient form:
y - y_1 = \frac{2}{3}(x - x_1), where (x₁, y₁) are the coordinates we're passing through

y - 3 = \frac{2}{3}(x - 5)
3y - 9 = 2x - 10
3y = 2x - 1
y = \frac{2}{3}x + 3
Bingel [31]3 years ago
3 0
Not enough information to solve
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Kim was walking down a rocky path.For 4 minutes, the elevation dropped steadily.All together it dropped 8 feet. What was the cha
fenix001 [56]

Answer:

2  \frac {{\textrm{feet}}}{{\textrm{minute}}}

Step-by-step explanation:

Kim was walking down a rocky path. For 4 minutes,  the elevation dropped steadily. All together it dropped 8 feet.

So, the change in elevation per minute for the 4 minutes is given by,

\frac {8}{4} \frac {{\textrm{feet}}}{{\textrm{minute}}}

= 2  \frac {{\textrm{feet}}}{{\textrm{minute}}}

(Answer)

8 0
3 years ago
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
Kisachek [45]
<h3>1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication.  TRUE</h3><h3>5. The final simplified product is  -28x^2 + 8x - 8 FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

Now, let us first solve the given expression step wise:

F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

Now, here the given statements are:

1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication.  TRUE

5. The final simplified product is  -28x^2 + 8x - 8 FALSE

As the simplified expression is: (-32x^2 +8x -8)

7 0
3 years ago
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rodikova [14]

Answer:

There are a total of 12 combinations you can get

Step-by-step explanation:I counted

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ankoles [38]
Pretty sure it is 16
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NemiM [27]

Answer:

m=-4

m-4=2m

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m=-4

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